Hi, how do I find the intersection point for this given that p is between and not including 2 and 3 ? Thanks !

wish the textbook had solutions...

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- Apr 7th 2017, 07:10 AM #1

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- Apr 7th 2017, 07:18 AM #2

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- Apr 7th 2017, 01:39 PM #3

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## Re: x^p=e^x

Hey, thanks! No.. sorry, I did get to that part, unsure how to solve now to ensure that p is between 2 and 3, so i'd appreciate if you could give me the steps so i can understand further from what yu did?

thank you so much ! you will be responsible for passing my exam ! I just dont understand the last line, although igto to the second last line ? so please explain ? also, how do you proceed to find p and x when x>0 ?

- Apr 7th 2017, 05:41 PM #4

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## Re: x^p=e^x

Looking at the plot of this as you vary $p$ is instructive.

First off there are no real solutions for $x>0$ if $p < e$

If $p=e$ there is one real solution, $x=e$

If $p>e$ there are two real solutions

What class is this for? I'd be very surprised if you are expected to know what the Lambert W function is.

Most likely you are expected to solve this numerically, or graphically, or something.

Can you ask your professor?

- Apr 8th 2017, 11:14 AM #5

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